87991483699200 has 624 divisors, whose sum is σ = 301769873240000. Its totient is φ = 22604509347840.

The previous prime is 87991483699199. The next prime is 87991483699297. The reversal of 87991483699200 is 299638419978.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 964255176 + ... + 964346424.

Almost surely, 2^{87991483699200} is an apocalyptic number.

87991483699200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87991483699200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150884936620000).

87991483699200 is an abundant number, since it is smaller than the sum of its proper divisors (213778389540800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87991483699200 is a wasteful number, since it uses less digits than its factorization.

87991483699200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91402 (or 91375 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 75.

The spelling of 87991483699200 in words is "eighty-seven trillion, nine hundred ninety-one billion, four hundred eighty-three million, six hundred ninety-nine thousand, two hundred".